Finding the Third Proportional to 309,436 and 492,362

Step by Step Solution

1. Step 1: Write the proportion equation
   309,436 : 492,362 = 492,362 : x
2. Step 2: Convert to fraction form
   309,436/492,362 = 492,362/x
3. Step 3: Cross multiply
   309,436x = 492,362 × 492,362
4. Step 4: Simplify right side
   309,436x = 242,420,339,044
5. Step 5: Solve for x
   x = 242,420,339,044/309,436
6. Step 6: Final answer
   x = 783,426.42